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Finding the Fourth Proportional to 469.53, 698.33 and 459.81

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Solution

The fourth proportional to 469.53, 698.33 and 459.81 is: 683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.53 : 698.33 = 459.81 : x
  2. Step 2: Convert to fraction form
    469.53/698.33 = 459.81/x
  3. Step 3: Cross multiply
    469.53x = 698.33 × 459.81
  4. Step 4: Simplify right side
    469.53x = 321,100.27
  5. Step 5: Solve for x
    x = 321,100.27/469.53
  6. Step 6: Final answer
    x = 683.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.